349908544 has 56 divisors (see below), whose sum is σ = 724204800. Its totient is φ = 167591424.

The previous prime is 349908539. The next prime is 349908553. The reversal of 349908544 is 445809943.

349908544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 349908494 and 349908503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144657 + ... + 147055.

Almost surely, 2^349908544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349908544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362102400).

349908544 is an abundant number, since it is smaller than the sum of its proper divisors (374296256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349908544 is a wasteful number, since it uses less digits than its factorization.

349908544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 349908544 is about 18705.8425097615. The cubic root of 349908544 is about 704.6684852161.

It can be divided in two parts, 34990 and 8544, that added together give a palindrome (43534).

The spelling of 349908544 in words is "three hundred forty-nine million, nine hundred eight thousand, five hundred forty-four".